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If range of the function f(x)=(2sin^2x+2...

If range of the function `f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1) is [p ,q],` then the value of `3 p+6q+1` is (a) `(10)/3` (b) `7/3` (c) 28 (d) None of these

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